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Home » rank the numbers in each group from smallest to largest - Coaching Toolbox

rank the numbers in each group from smallest to largest - Coaching Toolbox

📅 May 5, 2026 👤 scraface

May 05, 2026

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📝 Recent Posts

inom{6}{3} = rac{6 \cdot 5 \cdot 4}{3 \cdot 2 \cdot 1} = 20
inom{10}{5} = rac{10 \cdot 9 \cdot 8 \cdot 7 \cdot 6}{5 \cdot 4 \cdo...
Favorable outcomes: $6 \cdot 20 = 120$.
Probability: $rac{120}{252} = rac{10}{21}$.
Thus, the probability is $oxed{\dfrac{10}{21}}$.
Question: A museum has 7 digital kiosks arranged in a circle for inter...
Solution: Since the kiosks are arranged in a circle and rotations are...
Alternatively, fix one session at a position to break rotational symme...
Number of ways: $inom{6}{3} \cdot 3! = 20 \cdot 6 = 120$.
Hence, the number of distinct circular arrangements is $oxed{120}$.

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